6400591596 has 192 divisors, whose sum is σ = 20151936000. Its totient is φ = 1715033088.

The previous prime is 6400591573. The next prime is 6400591597. The reversal of 6400591596 is 6951950046.

It is a happy number.

6400591596 is a `hidden beast` number, since 6 + 4 + 0 + 0 + 59 + 1 + 596 = 666.

It is not an unprimeable number, because it can be changed into a prime (6400591597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4484635 + ... + 4486061.

It is an arithmetic number, because the mean of its divisors is an integer number (104958000).

Almost surely, 2^6400591596 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6400591596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075968000).

6400591596 is an abundant number, since it is smaller than the sum of its proper divisors (13751344404).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6400591596 is a wasteful number, since it uses less digits than its factorization.

6400591596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 6400591596 is about 80003.6973895582. The cubic root of 6400591596 is about 1856.6927388781.

The spelling of 6400591596 in words is "six billion, four hundred million, five hundred ninety-one thousand, five hundred ninety-six".